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Simplifying 2v * v + -17v = 19 Multiply v * v 2v2 + -17v = 19 Reorder the terms: -17v + 2v2 = 19 Solving -17v + 2v2 = 19 Solving for variable 'v'. Reorder the terms: -19 + -17v + 2v2 = 19 + -19 Combine like terms: 19 + -19 = 0 -19 + -17v + 2v2 = 0 Factor a trinomial. (-1 + -1v)(19 + -2v) = 0Subproblem 1
Set the factor '(-1 + -1v)' equal to zero and attempt to solve: Simplifying -1 + -1v = 0 Solving -1 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1v = 0 + 1 -1v = 0 + 1 Combine like terms: 0 + 1 = 1 -1v = 1 Divide each side by '-1'. v = -1 Simplifying v = -1Subproblem 2
Set the factor '(19 + -2v)' equal to zero and attempt to solve: Simplifying 19 + -2v = 0 Solving 19 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2v = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2v = 0 + -19 -2v = 0 + -19 Combine like terms: 0 + -19 = -19 -2v = -19 Divide each side by '-2'. v = 9.5 Simplifying v = 9.5Solution
v = {-1, 9.5}
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